A cuboidal wooden block contains 36 cm

Question:

A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.

Solution:

A cuboidal wooden block contains $36 \mathrm{~cm}^{3}$ of wood.

i. e., volume $=36 \mathrm{~cm}^{3}$

Length of the block $=4 \mathrm{~cm}$

Breadth of block $=3 \mathrm{~cm}$

Suppose that the height of the block is $h \mathrm{~cm}$

Now, volume of a cuboid $=$ lenght $\times$ breadth $\times$ height

$\Rightarrow 36=4 \times 3 \times h$

$\Rightarrow 36=12 \times h$

$\Rightarrow h=\frac{36}{12}=3 \mathrm{~cm}$

$\therefore$ The height of the wooden block is $3 \mathrm{~cm}$.

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